Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | #323×D89 |
| Fitting | #323×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#323 |
456 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #1316×D89, #1317×D89, #36463515, … |
| maximal normal subgroup of | #1316×D89, #1317×D89, #36463515, … |
| maximal quotient of | #1270×D89, #1272×D89, #36442377, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2815);